A linear portrayal of the Galois group G by the ring of irreducible characters of the hyperoctahedral group

The purpose of this paper is to first present the hyperoctahedral group, Bn, as the wreath product of ℤ2 associated with Sn, the symmetric group and then from the ring, A, generated by the irreducible characters of Bn define a linear portrayal of Artin attached to L/K; K is the field associated with the corresponding valuation ring AK issued from A.